Floquet spectrum and electronic transitions of tilted anisotropic Dirac materials under electromagnetic radiation: Monodromy matrix approach

A. Kunold, J. C. Sandoval-Santana, V. G. Ibarra-Sierra, and Gerardo G. Naumis
Phys. Rev. B 102, 045134 – Published 22 July 2020

Abstract

We analyze the quasienergy spectrum, the valence to conduction-band transition probabilities, and the photo-induced density currents of a tilted anisotropic Dirac material subject to linearly and circularly polarized electromagnetic fields. The quasienergy spectrum is numerically calculated from the monodromy matrix of the Schrödinger equation via the Floquet theorem for arbitrarily intense electromagnetic fields. The monodromy matrix method developed here is much more efficient for obtaining the evolution operator and Floquet spectrum of time-driven systems than the traditional diagonalization using replicas, as this last method requires truncation in both the number of replicas and system size. To assess the valence to conduction-band transition times, we deduced a Rabi-like formula in the rotating wave approximation. In the strong-field regime, the spectrum as a function of the momentum components divides into two very distinctive regions. In the first, located around the Dirac point, the quasi spectrum is significantly distorted by the field as the electronic parameters are renormalized by electronic dressing. In the second, all the characteristics of the free carrier spectrum are retained. Linearly polarized light anisotropically deforms the spectrum according to the field polarization direction. Dirac-like points form around the original Dirac point. The quasi spectrum of circularly polarized light, instead, exhibits a gap formation in the Dirac point and has elliptical symmetry. We show that, in contrast to the single-photon resonant transitions that characterize the weak-field regime, the strong-field regime is dominated by multiphoton resonances. These processes also manifest themselves in the generation of high harmonics in the density current.

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  • Received 24 April 2020
  • Revised 11 June 2020
  • Accepted 7 July 2020

DOI:https://doi.org/10.1103/PhysRevB.102.045134

©2020 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

A. Kunold1,*, J. C. Sandoval-Santana2,†, V. G. Ibarra-Sierra3,‡, and Gerardo G. Naumis3,§

  • 1Área de Física Teórica y Materia Condensada, Universidad Autónoma Metropolitana Azcapotzalco, Av. San Pablo 180, Col. Reynosa-Tamaulipas, 02200 Cuidad de México, México
  • 2Instituto de Física, Universidad Nacional Autónoma de México, Apartado Postal 20-364, 01000, Ciudad de México, México
  • 3Departamento de Sistemas Complejos, Instituto de Fisica, Universidad Nacional Autónoma de México, Apartado Postal 20-364, 01000, Ciudad de México, México

  • *akb@azc.uam.mx
  • jcarlosss@fisica.unam.mx
  • vickkun@fisica.unam.mx
  • §naumis@fisica.unam.mx

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Issue

Vol. 102, Iss. 4 — 15 July 2020

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